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arxiv: 2306.05586 · v1 · pith:DSXCL5GWnew · submitted 2023-06-08 · 🧮 math.FA

Weighted averages of ell^p sequences

classification 🧮 math.FA
keywords arithmeticinequalitiesmeannumberssequencesomeweightedaverages
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The objective of the present paper is to establish three Hardy-type inequalities in which the arithmetic mean over a sequence of non-negative real numbers is replaced by some weighted arithmetic mean over some nested subsets of the given sequence of numbers. One of these inequalities stems from a calculation in a paper of Bouthat and Mashreghi on semi-infinite matrices.

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